
Sec 4-1 Chapter 4 Notes
... particles. This was called the Wave-Particle Duality. Light now behaved as a wave and as a particle. Each particle of light carries a quantum of energy called a photon. ...
... particles. This was called the Wave-Particle Duality. Light now behaved as a wave and as a particle. Each particle of light carries a quantum of energy called a photon. ...
Document
... • The Quantum Atom: 1915 Bohr realises that quantum theory applies to matter itself. The orbits of the electrons about the nucleus are limited to a number of separate whole number possibilities, so that the atom can exist only in a number of distinct and definite states. (The incomplete so-called “ ...
... • The Quantum Atom: 1915 Bohr realises that quantum theory applies to matter itself. The orbits of the electrons about the nucleus are limited to a number of separate whole number possibilities, so that the atom can exist only in a number of distinct and definite states. (The incomplete so-called “ ...
What if quantum physics worked on a macroscopic level?
... It would seem intuitive to think that the rules of physics that apply at the atomic level would be transferable to the macroscopic world. However, attempts to prove this have not been easy. In fact, when the size of a quantum system increases, it interacts more and more with its surrounding environm ...
... It would seem intuitive to think that the rules of physics that apply at the atomic level would be transferable to the macroscopic world. However, attempts to prove this have not been easy. In fact, when the size of a quantum system increases, it interacts more and more with its surrounding environm ...
Atom chip group – Ben-Gurion University of the Negev Group head
... interested in noise and its relation to dephasing of quantum states, a topic related to the border between the quantum and the classical worlds. We are very much interested in foundations of quantum mechanics (QM) and the interplay between QM and general relativity. We collaborate with a number of g ...
... interested in noise and its relation to dephasing of quantum states, a topic related to the border between the quantum and the classical worlds. We are very much interested in foundations of quantum mechanics (QM) and the interplay between QM and general relativity. We collaborate with a number of g ...
Postulate 1 of Quantum Mechanics (wave function)
... • The wavefunction must be single-valued, continuous, finite (not infinite over a finite range), and normalized (the probability of find it somewhere is 1). ...
... • The wavefunction must be single-valued, continuous, finite (not infinite over a finite range), and normalized (the probability of find it somewhere is 1). ...
4.8-Quantum Mechanics
... occur so with a large number of atoms, there are more atoms emitting that wavelength) •The duality of matter makes it impossible to develop a set of equations that tells us both exactly where an electron is and what its momentum might be (Heisenburg’s Uncertainty Principle) •the Uncertainty Principl ...
... occur so with a large number of atoms, there are more atoms emitting that wavelength) •The duality of matter makes it impossible to develop a set of equations that tells us both exactly where an electron is and what its momentum might be (Heisenburg’s Uncertainty Principle) •the Uncertainty Principl ...
QUASICLASSICAL AND QUANTUM SYSTEMS OF ANGULAR FOR QUANTUM-MECHANICAL MODELS WITH SYMMETRIES
... byproducts like homogeneous spaces, Lie algebras and co-algebras, co-adjoint orbits, etc. Those group structures are relevant both for classical and quantum theories. They are basic tools for fundamental theoretical studies. They provide us also with the very effective tool for practical calculation ...
... byproducts like homogeneous spaces, Lie algebras and co-algebras, co-adjoint orbits, etc. Those group structures are relevant both for classical and quantum theories. They are basic tools for fundamental theoretical studies. They provide us also with the very effective tool for practical calculation ...
Max Born

Max Born (German: [bɔɐ̯n]; 11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 30s. Born won the 1954 Nobel Prize in Physics for his ""fundamental research in Quantum Mechanics, especially in the statistical interpretation of the wave function"".Born was born in 1882 in Breslau, then in Germany, now in Poland and known as Wrocław. He entered the University of Göttingen in 1904, where he found the three renowned mathematicians, Felix Klein, David Hilbert and Hermann Minkowski. He wrote his Ph.D. thesis on the subject of ""Stability of Elastica in a Plane and Space"", winning the University's Philosophy Faculty Prize. In 1905, he began researching special relativity with Minkowski, and subsequently wrote his habilitation thesis on the Thomson model of the atom. A chance meeting with Fritz Haber in Berlin in 1918 led to discussion of the manner in which an ionic compound is formed when a metal reacts with a halogen, which is today known as the Born–Haber cycle.In the First World War after originally being placed as a radio operator, due to his specialist knowledge he was moved to research duties regarding sound ranging. In 1921, Born returned to Göttingen, arranging another chair for his long-time friend and colleague James Franck. Under Born, Göttingen became one of the world's foremost centres for physics. In 1925, Born and Werner Heisenberg formulated the matrix mechanics representation of quantum mechanics. The following year, he formulated the now-standard interpretation of the probability density function for ψ*ψ in the Schrödinger equation, for which he was awarded the Nobel Prize in 1954. His influence extended far beyond his own research. Max Delbrück, Siegfried Flügge, Friedrich Hund, Pascual Jordan, Maria Goeppert-Mayer, Lothar Wolfgang Nordheim, Robert Oppenheimer, and Victor Weisskopf all received their Ph.D. degrees under Born at Göttingen, and his assistants included Enrico Fermi, Werner Heisenberg, Gerhard Herzberg, Friedrich Hund, Pascual Jordan, Wolfgang Pauli, Léon Rosenfeld, Edward Teller, and Eugene Wigner.In January 1933, the Nazi Party came to power in Germany, and Born, who was Jewish, was suspended. He emigrated to Britain, where he took a job at St John's College, Cambridge, and wrote a popular science book, The Restless Universe, as well as Atomic Physics, which soon became a standard text book. In October 1936, he became the Tait Professor of Natural Philosophy at the University of Edinburgh, where, working with German-born assistants E. Walter Kellermann and Klaus Fuchs, he continued his research into physics. Max Born became a naturalised British subject on 31 August 1939, one day before World War II broke out in Europe. He remained at Edinburgh until 1952. He retired to Bad Pyrmont, in West Germany. He died in hospital in Göttingen on 5 January 1970.